Grade 8 Scientific Notation Quiz – Free PDF

Contents

This grade 8 scientific notation quiz asks 10 multiple-choice questions on scientific notation, and each answer comes with a short explanation.

Ten multiple-choice questions check scientific notation: converting between standard form and scientific notation, comparing sizes, reading calculator displays, and multiplying and dividing. Some questions use a figure. Pick the one correct answer, then read the explanation. Aim for 8 out of 10.

Grade 8Common Core: 8.EE.A.3 · 8.EE.A.4

🎯 Scientific Notation – Grade 8 math quiz

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Question 1

Which is 45,000 in scientific notation?

The point moves 4 places left.

A \(4.5\times10^{3}\)

B \(45\times10^{3}\)

C \(0.45\times10^{5}\)

D \(4.5\times10^{4}\)

Question 2

Which is 0.0072 in scientific notation?

The point moves 3 places right.

A \(7.2\times10^{-3}\)

B \(7.2\times10^{3}\)

C \(7.2\times10^{-2}\)

D \(7.2\times10^{-4}\)

Question 3

What is \(6.03\times10^{5}\) in standard form?

A 60,300

B 6,030,000

C 603,000

D 0.0000603

Question 4

What is \(2.5\times10^{-4}\) in standard form?

A 0.0025

B 0.000025

C 250,000

D 0.00025

Question 5

A calculator display is shown. What number does it show?

The display reads 1.8E7.

A 18,000,000

B 1,800,000

C 180,000,000

D 0.00000018

Question 6

Which number is the greatest?

A \(9.9\times10^{-2}\)

B \(5.0\times10^{-2}\)

C \(8.7\times10^{-3}\)

D \(1.2\times10^{-1}\)

Question 7

How many times as large is the first number as the second?

Compare the two numbers.

A \(2\times10^{4}\)

B \(2\times10^{3}\)

C \(1.8\times10^{12}\)

D \(2\times10^{11}\)

Question 8

What is \((2\times10^{5})(4\times10^{3})\)?

A \(8\times10^{8}\)

B \(8\times10^{15}\)

C \(6\times10^{8}\)

D \(8\times10^{2}\)

Question 9

What is \(\frac{9\times10^{6}}{3\times10^{2}}\)?

A \(3\times10^{8}\)

B \(3\times10^{4}\)

C \(6\times10^{4}\)

D \(3\times10^{12}\)

Question 10

Light travels \(1.86\times10^{5}\) miles each second. How far does it go in 3 seconds?

Rate and time.

A \(5.58\times10^{4}\)

B \(5.58\times10^{6}\)

C \(5.58\times10^{5}\)

D \(5.58\times10^{8}\)

🎉 Quiz complete!

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How does this quiz work?

Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

What should you review before the quiz?

Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

Remember:

Standards 8.EE.A.3 and 8.EE.A.4: write, compare and calculate with numbers in the form \(a\times 10^{n}\).
Move the decimal point after the first nonzero digit; the number of places moved is the exponent.
To find how many times as much, divide the coefficients and subtract the exponents.
Multiply by adding exponents; add or subtract only after both numbers share the same power of 10.
Calculator notation 3.2E5 means \(3.2\times 10^{5}\), and 7.5E-3 means \(7.5\times 10^{-3}\).